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Finding the Fourth Proportional to 2,998.06, 4,136.62 and 1,819.10

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Solution

The fourth proportional to 2,998.06, 4,136.62 and 1,819.10 is: 2,509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.06 : 4,136.62 = 1,819.10 : x
  2. Step 2: Convert to fraction form
    2,998.06/4,136.62 = 1,819.10/x
  3. Step 3: Cross multiply
    2,998.06x = 4,136.62 × 1,819.10
  4. Step 4: Simplify right side
    2,998.06x = 7,524,925.44
  5. Step 5: Solve for x
    x = 7,524,925.44/2,998.06
  6. Step 6: Final answer
    x = 2,509.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.